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Finding the Fourth Proportional to 11,811.64, 17,718.48 and 3,046.48

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Solution

The fourth proportional to 11,811.64, 17,718.48 and 3,046.48 is: 4,569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.64 : 17,718.48 = 3,046.48 : x
  2. Step 2: Convert to fraction form
    11,811.64/17,718.48 = 3,046.48/x
  3. Step 3: Cross multiply
    11,811.64x = 17,718.48 × 3,046.48
  4. Step 4: Simplify right side
    11,811.64x = 53,978,994.95
  5. Step 5: Solve for x
    x = 53,978,994.95/11,811.64
  6. Step 6: Final answer
    x = 4,569.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.